//fir filter coefficients for preprocessing

double fir_coef[] = {
     -0.00052229 ,
     -0.00031248 ,
     -0.00042519 ,
     -0.00056612 ,
     -0.00073973 ,
     -0.00095117 ,
     -0.00120474 ,
     -0.00150668 ,
     -0.00186291 ,
     -0.00227999 ,
     -0.00276126 ,
     -0.00331664 ,
     -0.00395035 ,
     -0.00466807 ,
     -0.00547662 ,
     -0.00637919 ,
     -0.00738205 ,
     -0.00848802 ,
     -0.00970049 ,
     -0.01102028 ,
     -0.01244920 ,
     -0.01398483 ,
     -0.01562454 ,
     -0.01736372 ,
     -0.01919449 ,
     -0.02110875 ,
     -0.02309406 ,
     -0.02513608 ,
     -0.02721764 ,
     -0.02931861 ,
     -0.03141541 ,
     -0.03348146 ,
     -0.03548737 ,
     -0.03739944 ,
     -0.03918258 ,
     -0.04079641 ,
     -0.04219883 ,
     -0.04334439 ,
     -0.04418476 ,
     -0.04466912 ,
     -0.04474431 ,
     -0.04435528 ,
     -0.04344503 ,
     -0.04195608 ,
     -0.03982899 ,
     -0.03700507 ,
     -0.03342577 ,
     -0.02903286 ,
     -0.02377037 ,
     -0.01758350 ,
     -0.01042082 ,
     -0.00223365 ,
      0.00702218 ,
      0.01738710 ,
      0.02889531 ,
      0.04157560 ,
      0.05545039 ,
      0.07053452 ,
      0.08683594 ,
      0.10435385 ,
      0.12307930 ,
      0.14299437 ,
      0.16407216 ,
      0.18627605 ,
      0.20956009 ,
      0.23386906 ,
      0.25913754 ,
      0.28529153 ,
      0.31224684 ,
      0.33991099 ,
      0.36818276 ,
      0.39695291 ,
      0.42610468 ,
      0.45551463 ,
      0.48505345 ,
      0.51458628 ,
      0.54397450 ,
      0.57307551 ,
      0.60174492 ,
      0.62983701 ,
      0.65720568 ,
      0.68370602 ,
      0.70919499 ,
      0.73353305 ,
      0.75658457 ,
      0.77821987 ,
      0.79831522 ,
      0.81675504 ,
      0.83343208 ,
      0.84824835 ,
      0.86111648 ,
      0.87195983 ,
      0.88071381 ,
      0.88732573 ,
      0.89175602 ,
      0.89397775 ,
      0.89397775 ,
      0.89175602 ,
      0.88732573 ,
      0.88071381 ,
      0.87195983 ,
      0.86111648 ,
      0.84824835 ,
      0.83343208 ,
      0.81675504 ,
      0.79831522 ,
      0.77821987 ,
      0.75658457 ,
      0.73353305 ,
      0.70919499 ,
      0.68370602 ,
      0.65720568 ,
      0.62983701 ,
      0.60174492 ,
      0.57307551 ,
      0.54397450 ,
      0.51458628 ,
      0.48505345 ,
      0.45551463 ,
      0.42610468 ,
      0.39695291 ,
      0.36818276 ,
      0.33991099 ,
      0.31224684 ,
      0.28529153 ,
      0.25913754 ,
      0.23386906 ,
      0.20956009 ,
      0.18627605 ,
      0.16407216 ,
      0.14299437 ,
      0.12307930 ,
      0.10435385 ,
      0.08683594 ,
      0.07053452 ,
      0.05545039 ,
      0.04157560 ,
      0.02889531 ,
      0.01738710 ,
      0.00702218 ,
     -0.00223365 ,
     -0.01042082 ,
     -0.01758350 ,
     -0.02377037 ,
     -0.02903286 ,
     -0.03342577 ,
     -0.03700507 ,
     -0.03982899 ,
     -0.04195608 ,
     -0.04344503 ,
     -0.04435528 ,
     -0.04474431 ,
     -0.04466912 ,
     -0.04418476 ,
     -0.04334439 ,
     -0.04219883 ,
     -0.04079641 ,
     -0.03918258 ,
     -0.03739944 ,
     -0.03548737 ,
     -0.03348146 ,
     -0.03141541 ,
     -0.02931861 ,
     -0.02721764 ,
     -0.02513608 ,
     -0.02309406 ,
     -0.02110875 ,
     -0.01919449 ,
     -0.01736372 ,
     -0.01562454 ,
     -0.01398483 ,
     -0.01244920 ,
     -0.01102028 ,
     -0.00970049 ,
     -0.00848802 ,
     -0.00738205 ,
     -0.00637919 ,
     -0.00547662 ,
     -0.00466807 ,
     -0.00395035 ,
     -0.00331664 ,
     -0.00276126 ,
     -0.00227999 ,
     -0.00186291 ,
     -0.00150668 ,
     -0.00120474 ,
     -0.00095117 ,
     -0.00073973 ,
     -0.00056612 ,
     -0.00042519 ,
     -0.00031248 ,
     -0.00052229
};
